As I have suggested, I think it will prove helpful to have a graphical or
pictorial representation of both math maturity in general, and for a particular
student.

However, from what I am learning by reading and by talking to people, math
maturity is difficult to measure in a quantitative manner. For example, suppose
we are talking about math creativity. We can see this creativity from time to
time even in quite young students—for exmaple, students doing creative things
with pattern blocks or with cubes in respesenting and solving problems. Logo
certainly helps to identify young students who have a certain type of creativity
in representing and solving problems in this programming environment.

I'd be interesting in hearning of examples in which you have seen students
display math creativity.

This material is based upon work supported by the
National Science Foundation under Grant DUE-0226284.
Any opinions, findings, and conclusions or recommendations
expressed in this material are those of the author(s)
and do not necessarily reflect the views of the
National Science Foundation.